Completing the square with fractions to find the vertex

The video tutorial explains the process of factoring and creating perfect square trinomials. It begins with an introduction to the concept of perfect square trinomials and the importance of recognizing patterns. The teacher demonstrates how to create a perfect square trinomial by squaring the middle term and adjusting the equation. The tutorial also covers simplifying fractions and emphasizes the importance of understanding patterns in mathematics. The session concludes with practice problems to reinforce the concepts learned.

Describe how to factor the expression X^2 - 6X + 9 using the method discussed.

What patterns can be observed in perfect square trinomials?